Doerner, Max, Geiges, Hansjoerg and Zehmisch, Kai ORCID: 0000-0002-9512-860X (2017). Finsler geodesics, periodic Reeb orbits, and open books. Eur. J. Math., 3 (4). S. 1058 - 1076. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG. ISSN 2199-6768

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Abstract

We survey some results on the existence (and non-existence) of periodic Reeb orbits on contact manifolds, both in the open and closed case. We place these statements in the context of Finsler geometry by including a proof of the folklore theorem that the Finsler geodesic flow can be interpreted as a Reeb flow. As a mild extension of previous results we present existence statements on periodic Reeb orbits on contact manifolds with suitable supporting open books.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Doerner, MaxUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Geiges, HansjoergUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Zehmisch, KaiUNSPECIFIEDorcid.org/0000-0002-9512-860XUNSPECIFIED
URN: urn:nbn:de:hbz:38-208437
DOI: 10.1007/s40879-017-0158-0
Journal or Publication Title: Eur. J. Math.
Volume: 3
Number: 4
Page Range: S. 1058 - 1076
Date: 2017
Publisher: SPRINGER INTERNATIONAL PUBLISHING AG
Place of Publication: CHAM
ISSN: 2199-6768
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
WEINSTEIN CONJECTURE; COBORDISMS; MANIFOLDS; CURVESMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/20843

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